Two paricles A and B start simultaneously from the same point and move in a horizontal plane. A has an initial velocity `u_(1)` due east and acceleration `a_(1)` due north. B has an intial velocity `u_(2)` due north and acceleration `a_(2)` due east.

Options

A. Paths followed by the particles must intersect at a point
B. Particles must collide at a point
C. Particles will collide if `a_(1)u_(1)=a_(2)u_(2)`
D. Particles will attain same speed at some point of time if `u_(1) lt u_(2) and a_(1) gt a_(2)`

Answer

A, C, D

Explanation

(a,c,d): Path for both the particles are shown in the figure . Initial velocity should be tangent to the path and path should curve according to the aceeleration . We can see that the paths followed by both the particles must intersect each other . Hence , option (a) is correct .